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20032013331 = 32114179179349
BaseRepresentation
bin10010101010000000…
…000100010000010011
31220201001202201021200
4102222000010100103
5312011143411311
613111431322243
71306261206141
oct225200042023
956631681250
1020032013331
11854a605120
123a70820383
131b73206135
14d8065a591
157c3991556
hex4aa004413

20032013331 has 96 divisors (see below), whose sum is σ = 33022080000. Its totient is φ = 11595916800.

The previous prime is 20032013327. The next prime is 20032013399. The reversal of 20032013331 is 13331023002.

20032013331 is a `hidden beast` number, since 2 + 0 + 0 + 320 + 13 + 331 = 666.

It is not a de Polignac number, because 20032013331 - 22 = 20032013327 is a prime.

It is a super-2 number, since 2×200320133312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20032013831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57398145 + ... + 57398493.

It is an arithmetic number, because the mean of its divisors is an integer number (343980000).

Almost surely, 220032013331 is an apocalyptic number.

20032013331 is a deficient number, since it is larger than the sum of its proper divisors (12990066669).

20032013331 is a wasteful number, since it uses less digits than its factorization.

20032013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20032013331 its reverse (13331023002), we get a palindrome (33363036333).

The spelling of 20032013331 in words is "twenty billion, thirty-two million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 41 79 99 123 179 237 349 369 451 537 711 869 1047 1353 1611 1969 2607 3141 3239 3839 4059 5907 7339 7821 9717 11517 14141 14309 17721 22017 27571 29151 34551 35629 42423 42927 62471 66051 80729 82713 106887 127269 128781 155551 157399 187413 242187 248139 303281 320661 466653 472197 562239 579781 687181 726561 909843 1130411 1399959 1416591 1739343 2061543 2561311 2729529 3391233 4935209 5218029 6184629 6377591 7683933 10173699 12434521 14805627 19132773 23051799 28174421 37303563 44416881 54287299 57398319 84523263 111910689 162861897 202343569 253569789 488585691 607030707 1821092121 2225779259 6677337777 20032013331